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To solve the LCM of 180 and 252, factor them in their prime factors...
180 = 2 * 2 * 3 * 3 * 5 = 22 * 32 * 51
252 = 2 * 2 * 3 * 3 * 7 = 22 * 32 * 71
... then multiply the prime factors with the highest power together...
22 * 32 * 51 * 71 = 1260
180 and 252 is a simple example which does not completely illustrate the priniciple involved. A better example might be 48 and 180...
48 = 2 * 2 * 2 * 2 * 3 = 24 * 31
180 = 2 * 2 * 3 * 3 * 5 = 22 * 32 * 51
... so the LCM would be 24 * 32 * 51 = 720
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Continue Learning about Movies & Television
What is the least common multiple for 18 21 and 36?
The LCM is: 180.
What is the LCM of 36 45 and 18?
The LCM of 45 and 18 is 90.
What is the LCM of 21 9 and 36?
It is: 252
What is the least common multiple of 20 and 180?
The LCM of 20 and 180 is 180. Since 180 is a multiple of 20, it is automatically the LCM of the set.
What is the LCM of 48 and 63?
The LCM is 528.
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